In the modern polarization context we defined cumulant ratios which we
showed to be useful for finite size scaling of quantum phase
transitions. We argued that the method often used in the literature,
due to Resta and Sorella [1]}, [2]}, has a drawback,
namely that the size scaling of the variance of the polarization is
lost at the phase transition points. We presented an alternative
approximation scheme which leads to controlled divergence of the
system size at phase transition point. The geometric Binder cumulants
we derived are ratios of cumulants of the polarization defined
according to our approximation scheme.
